Interior Angles

Geometry Level 3

What is the measure of the interior angle of a regular polygon with 42 42 sides? Round to the nearest integer.


The answer is 171.

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1 solution

Siva M.
Aug 6, 2014

We know that the interior angle of a regular polygon can be represented as 180 ( n 2 ) n \frac{180(n-2)}{n} , where n n is the number of sides in the polygon. Substituting 42 42 for n n , we get 7200 42 \frac{7200}{42} , which is approximately 171 \boxed{171} .

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